/*
  ==============================================================================

   This file is part of the JUCE framework.
   Copyright (c) Raw Material Software Limited

   JUCE is an open source framework subject to commercial or open source
   licensing.

   By downloading, installing, or using the JUCE framework, or combining the
   JUCE framework with any other source code, object code, content or any other
   copyrightable work, you agree to the terms of the JUCE End User Licence
   Agreement, and all incorporated terms including the JUCE Privacy Policy and
   the JUCE Website Terms of Service, as applicable, which will bind you. If you
   do not agree to the terms of these agreements, we will not license the JUCE
   framework to you, and you must discontinue the installation or download
   process and cease use of the JUCE framework.

   JUCE End User Licence Agreement: https://juce.com/legal/juce-8-licence/
   JUCE Privacy Policy: https://juce.com/juce-privacy-policy
   JUCE Website Terms of Service: https://juce.com/juce-website-terms-of-service/

   Or:

   You may also use this code under the terms of the AGPLv3:
   https://www.gnu.org/licenses/agpl-3.0.en.html

   THE JUCE FRAMEWORK IS PROVIDED "AS IS" WITHOUT ANY WARRANTY, AND ALL
   WARRANTIES, WHETHER EXPRESSED OR IMPLIED, INCLUDING WARRANTY OF
   MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE, ARE DISCLAIMED.

  ==============================================================================
*/

namespace juce::dsp::IIR
{

constexpr auto minimumDecibels = -300.0;

template <typename NumericType>
std::array<NumericType, 4> ArrayCoefficients<NumericType>::makeFirstOrderLowPass (double sampleRate,
                                                                                  NumericType frequency)
{
    jassert (sampleRate > 0.0);
    jassert (frequency > 0 && frequency <= static_cast<float> (sampleRate * 0.5));

    const auto n = std::tan (MathConstants<NumericType>::pi * frequency / static_cast<NumericType> (sampleRate));

    return { { n, n, n + 1, n - 1 } };
}

template <typename NumericType>
std::array<NumericType, 4> ArrayCoefficients<NumericType>::makeFirstOrderHighPass (double sampleRate,
                                                                                   NumericType frequency)
{
    jassert (sampleRate > 0.0);
    jassert (frequency > 0 && frequency <= static_cast<float> (sampleRate * 0.5));

    const auto n = std::tan (MathConstants<NumericType>::pi * frequency / static_cast<NumericType> (sampleRate));

    return { { 1, -1, n + 1, n - 1 } };
}

template <typename NumericType>
std::array<NumericType, 4> ArrayCoefficients<NumericType>::makeFirstOrderAllPass (double sampleRate,
                                                                                  NumericType frequency)
{
    jassert (sampleRate > 0.0);
    jassert (frequency > 0 && frequency <= static_cast<float> (sampleRate * 0.5));

    const auto n = std::tan (MathConstants<NumericType>::pi * frequency / static_cast<NumericType> (sampleRate));

    return { { n - 1, n + 1, n + 1, n - 1 } };
}

template <typename NumericType>
std::array<NumericType, 6> ArrayCoefficients<NumericType>::makeLowPass (double sampleRate,
                                                                        NumericType frequency)
{
    return makeLowPass (sampleRate, frequency, inverseRootTwo);
}

template <typename NumericType>
std::array<NumericType, 6> ArrayCoefficients<NumericType>::makeLowPass (double sampleRate,
                                                                        NumericType frequency,
                                                                        NumericType Q)
{
    jassert (sampleRate > 0.0);
    jassert (frequency > 0 && frequency <= static_cast<float> (sampleRate * 0.5));
    jassert (Q > 0.0);

    const auto n = 1 / std::tan (MathConstants<NumericType>::pi * frequency / static_cast<NumericType> (sampleRate));
    const auto nSquared = n * n;
    const auto invQ = 1 / Q;
    const auto c1 = 1 / (1 + invQ * n + nSquared);

    return { { c1, c1 * 2, c1,
               1, c1 * 2 * (1 - nSquared),
               c1 * (1 - invQ * n + nSquared) } };
}

template <typename NumericType>
std::array<NumericType, 6> ArrayCoefficients<NumericType>::makeHighPass (double sampleRate,
                                                                         NumericType frequency)
{
    return makeHighPass (sampleRate, frequency, inverseRootTwo);
}

template <typename NumericType>
std::array<NumericType, 6> ArrayCoefficients<NumericType>::makeHighPass (double sampleRate,
                                                                         NumericType frequency,
                                                                         NumericType Q)
{
    jassert (sampleRate > 0.0);
    jassert (frequency > 0 && frequency <= static_cast<float> (sampleRate * 0.5));
    jassert (Q > 0.0);

    const auto n = std::tan (MathConstants<NumericType>::pi * frequency / static_cast<NumericType> (sampleRate));
    const auto nSquared = n * n;
    const auto invQ = 1 / Q;
    const auto c1 = 1 / (1 + invQ * n + nSquared);

    return { { c1, c1 * -2, c1,
               1, c1 * 2 * (nSquared - 1),
               c1 * (1 - invQ * n + nSquared) } };
}

template <typename NumericType>
std::array<NumericType, 6> ArrayCoefficients<NumericType>::makeBandPass (double sampleRate,
                                                                         NumericType frequency)
{
    return makeBandPass (sampleRate, frequency, inverseRootTwo);
}

template <typename NumericType>
std::array<NumericType, 6> ArrayCoefficients<NumericType>::makeBandPass (double sampleRate,
                                                                         NumericType frequency,
                                                                         NumericType Q)
{
    jassert (sampleRate > 0.0);
    jassert (frequency > 0 && frequency <= static_cast<float> (sampleRate * 0.5));
    jassert (Q > 0.0);

    const auto n = 1 / std::tan (MathConstants<NumericType>::pi * frequency / static_cast<NumericType> (sampleRate));
    const auto nSquared = n * n;
    const auto invQ = 1 / Q;
    const auto c1 = 1 / (1 + invQ * n + nSquared);

    return { { c1 * n * invQ, 0,
               -c1 * n * invQ, 1,
               c1 * 2 * (1 - nSquared),
               c1 * (1 - invQ * n + nSquared) } };
}

template <typename NumericType>
std::array<NumericType, 6> ArrayCoefficients<NumericType>::makeNotch (double sampleRate,
                                                                      NumericType frequency)
{
    return makeNotch (sampleRate, frequency, inverseRootTwo);
}

template <typename NumericType>
std::array<NumericType, 6> ArrayCoefficients<NumericType>::makeNotch (double sampleRate,
                                                                      NumericType frequency,
                                                                      NumericType Q)
{
    jassert (sampleRate > 0.0);
    jassert (frequency > 0 && frequency <= static_cast<float> (sampleRate * 0.5));
    jassert (Q > 0.0);

    const auto n = 1 / std::tan (MathConstants<NumericType>::pi * frequency / static_cast<NumericType> (sampleRate));
    const auto nSquared = n * n;
    const auto invQ = 1 / Q;
    const auto c1 = 1 / (1 + n * invQ + nSquared);
    const auto b0 = c1 * (1 + nSquared);
    const auto b1 = 2 * c1 * (1 - nSquared);

    return { { b0, b1, b0, 1, b1, c1 * (1 - n * invQ + nSquared) } };
}

template <typename NumericType>
std::array<NumericType, 6> ArrayCoefficients<NumericType>::makeAllPass (double sampleRate,
                                                                        NumericType frequency)
{
    return makeAllPass (sampleRate, frequency, inverseRootTwo);
}

template <typename NumericType>
std::array<NumericType, 6> ArrayCoefficients<NumericType>::makeAllPass (double sampleRate,
                                                                        NumericType frequency,
                                                                        NumericType Q)
{
    jassert (sampleRate > 0);
    jassert (frequency > 0 && frequency <= sampleRate * 0.5);
    jassert (Q > 0);

    const auto n = 1 / std::tan (MathConstants<NumericType>::pi * frequency / static_cast<NumericType> (sampleRate));
    const auto nSquared = n * n;
    const auto invQ = 1 / Q;
    const auto c1 = 1 / (1 + invQ * n + nSquared);
    const auto b0 = c1 * (1 - n * invQ + nSquared);
    const auto b1 = c1 * 2 * (1 - nSquared);

    return { { b0, b1, 1, 1, b1, b0 } };
}

template <typename NumericType>
std::array<NumericType, 6> ArrayCoefficients<NumericType>::makeLowShelf (double sampleRate,
                                                                         NumericType cutOffFrequency,
                                                                         NumericType Q,
                                                                         NumericType gainFactor)
{
    jassert (sampleRate > 0.0);
    jassert (cutOffFrequency > 0.0 && cutOffFrequency <= sampleRate * 0.5);
    jassert (Q > 0.0);

    const auto A = std::sqrt (Decibels::gainWithLowerBound (gainFactor, (NumericType) minimumDecibels));
    const auto aminus1 = A - 1;
    const auto aplus1 = A + 1;
    const auto omega = (2 * MathConstants<NumericType>::pi * jmax (cutOffFrequency, static_cast<NumericType> (2.0))) / static_cast<NumericType> (sampleRate);
    const auto coso = std::cos (omega);
    const auto beta = std::sin (omega) * std::sqrt (A) / Q;
    const auto aminus1TimesCoso = aminus1 * coso;

    return { { A * (aplus1 - aminus1TimesCoso + beta),
               A * 2 * (aminus1 - aplus1 * coso),
               A * (aplus1 - aminus1TimesCoso - beta),
               aplus1 + aminus1TimesCoso + beta,
               -2 * (aminus1 + aplus1 * coso),
               aplus1 + aminus1TimesCoso - beta } };
}

template <typename NumericType>
std::array<NumericType, 6> ArrayCoefficients<NumericType>::makeHighShelf (double sampleRate,
                                                                          NumericType cutOffFrequency,
                                                                          NumericType Q,
                                                                          NumericType gainFactor)
{
    jassert (sampleRate > 0);
    jassert (cutOffFrequency > 0 && cutOffFrequency <= static_cast<NumericType> (sampleRate * 0.5));
    jassert (Q > 0);

    const auto A = std::sqrt (Decibels::gainWithLowerBound (gainFactor, (NumericType) minimumDecibels));
    const auto aminus1 = A - 1;
    const auto aplus1 = A + 1;
    const auto omega = (2 * MathConstants<NumericType>::pi * jmax (cutOffFrequency, static_cast<NumericType> (2.0))) / static_cast<NumericType> (sampleRate);
    const auto coso = std::cos (omega);
    const auto beta = std::sin (omega) * std::sqrt (A) / Q;
    const auto aminus1TimesCoso = aminus1 * coso;

    return { { A * (aplus1 + aminus1TimesCoso + beta),
               A * -2 * (aminus1 + aplus1 * coso),
               A * (aplus1 + aminus1TimesCoso - beta),
               aplus1 - aminus1TimesCoso + beta,
               2 * (aminus1 - aplus1 * coso),
               aplus1 - aminus1TimesCoso - beta } };
}

template <typename NumericType>
std::array<NumericType, 6> ArrayCoefficients<NumericType>::makePeakFilter (double sampleRate,
                                                                           NumericType frequency,
                                                                           NumericType Q,
                                                                           NumericType gainFactor)
{
    jassert (sampleRate > 0);
    jassert (frequency > 0 && frequency <= static_cast<NumericType> (sampleRate * 0.5));
    jassert (Q > 0);
    jassert (gainFactor > 0);

    const auto A = std::sqrt (Decibels::gainWithLowerBound (gainFactor, (NumericType) minimumDecibels));
    const auto omega = (2 * MathConstants<NumericType>::pi * jmax (frequency, static_cast<NumericType> (2.0))) / static_cast<NumericType> (sampleRate);
    const auto alpha = std::sin (omega) / (Q * 2);
    const auto c2 = -2 * std::cos (omega);
    const auto alphaTimesA = alpha * A;
    const auto alphaOverA = alpha / A;

    return { { 1 + alphaTimesA, c2, 1 - alphaTimesA, 1 + alphaOverA, c2, 1 - alphaOverA } };
}

template struct ArrayCoefficients<float>;
template struct ArrayCoefficients<double>;

//==============================================================================
template <typename NumericType>
Coefficients<NumericType>::Coefficients()
{
    assign ({ NumericType(), NumericType(), NumericType(),
              NumericType(), NumericType(), NumericType() });
}

template <typename NumericType>
Coefficients<NumericType>::Coefficients (NumericType b0, NumericType b1,
                                         NumericType a0, NumericType a1)
{
    assign ({ b0, b1,
              a0, a1 });
}

template <typename NumericType>
Coefficients<NumericType>::Coefficients (NumericType b0, NumericType b1, NumericType b2,
                                         NumericType a0, NumericType a1, NumericType a2)
{
    assign ({ b0, b1, b2,
              a0, a1, a2 });
}

template <typename NumericType>
Coefficients<NumericType>::Coefficients (NumericType b0, NumericType b1, NumericType b2, NumericType b3,
                                         NumericType a0, NumericType a1, NumericType a2, NumericType a3)
{
    assign ({ b0, b1, b2, b3,
              a0, a1, a2, a3 });
}

template <typename NumericType>
typename Coefficients<NumericType>::Ptr Coefficients<NumericType>::makeFirstOrderLowPass (double sampleRate,
                                                                                          NumericType frequency)
{
    return *new Coefficients (ArrayCoeffs::makeFirstOrderLowPass (sampleRate, frequency));
}

template <typename NumericType>
typename Coefficients<NumericType>::Ptr Coefficients<NumericType>::makeFirstOrderHighPass (double sampleRate,
                                                                                           NumericType frequency)
{
    return *new Coefficients (ArrayCoeffs::makeFirstOrderHighPass (sampleRate, frequency));
}

template <typename NumericType>
typename Coefficients<NumericType>::Ptr Coefficients<NumericType>::makeFirstOrderAllPass (double sampleRate,
                                                                                          NumericType frequency)
{
    return *new Coefficients (ArrayCoeffs::makeFirstOrderAllPass (sampleRate, frequency));
}

template <typename NumericType>
typename Coefficients<NumericType>::Ptr Coefficients<NumericType>::makeLowPass (double sampleRate,
                                                                                NumericType frequency)
{
    return *new Coefficients (ArrayCoeffs::makeLowPass (sampleRate, frequency));
}

template <typename NumericType>
typename Coefficients<NumericType>::Ptr Coefficients<NumericType>::makeLowPass (double sampleRate,
                                                                                NumericType frequency,
                                                                                NumericType Q)
{
    return *new Coefficients (ArrayCoeffs::makeLowPass (sampleRate, frequency, Q));
}

template <typename NumericType>
typename Coefficients<NumericType>::Ptr Coefficients<NumericType>::makeHighPass (double sampleRate,
                                                                                 NumericType frequency)
{
    return *new Coefficients (ArrayCoeffs::makeHighPass (sampleRate, frequency));
}

template <typename NumericType>
typename Coefficients<NumericType>::Ptr Coefficients<NumericType>::makeHighPass (double sampleRate,
                                                                                 NumericType frequency,
                                                                                 NumericType Q)
{
    return *new Coefficients (ArrayCoeffs::makeHighPass (sampleRate, frequency, Q));
}

template <typename NumericType>
typename Coefficients<NumericType>::Ptr Coefficients<NumericType>::makeBandPass (double sampleRate,
                                                                                 NumericType frequency)
{
    return *new Coefficients (ArrayCoeffs::makeBandPass (sampleRate, frequency));
}

template <typename NumericType>
typename Coefficients<NumericType>::Ptr Coefficients<NumericType>::makeBandPass (double sampleRate,
                                                                                 NumericType frequency,
                                                                                 NumericType Q)
{
    return *new Coefficients (ArrayCoeffs::makeBandPass (sampleRate, frequency, Q));
}

template <typename NumericType>
typename Coefficients<NumericType>::Ptr Coefficients<NumericType>::makeNotch (double sampleRate,
                                                                              NumericType frequency)
{
    return *new Coefficients (ArrayCoeffs::makeNotch (sampleRate, frequency));
}

template <typename NumericType>
typename Coefficients<NumericType>::Ptr Coefficients<NumericType>::makeNotch (double sampleRate,
                                                                              NumericType frequency,
                                                                              NumericType Q)
{
    return *new Coefficients (ArrayCoeffs::makeNotch (sampleRate, frequency, Q));
}

template <typename NumericType>
typename Coefficients<NumericType>::Ptr Coefficients<NumericType>::makeAllPass (double sampleRate,
                                                                                NumericType frequency)
{
    return *new Coefficients (ArrayCoeffs::makeAllPass (sampleRate, frequency));
}

template <typename NumericType>
typename Coefficients<NumericType>::Ptr Coefficients<NumericType>::makeAllPass (double sampleRate,
                                                                                NumericType frequency,
                                                                                NumericType Q)
{
    return *new Coefficients (ArrayCoeffs::makeAllPass (sampleRate, frequency, Q));
}

template <typename NumericType>
typename Coefficients<NumericType>::Ptr Coefficients<NumericType>::makeLowShelf (double sampleRate,
                                                                                 NumericType cutOffFrequency,
                                                                                 NumericType Q,
                                                                                 NumericType gainFactor)
{
    return *new Coefficients (ArrayCoeffs::makeLowShelf (sampleRate, cutOffFrequency, Q, gainFactor));
}

template <typename NumericType>
typename Coefficients<NumericType>::Ptr Coefficients<NumericType>::makeHighShelf (double sampleRate,
                                                                                  NumericType cutOffFrequency,
                                                                                  NumericType Q,
                                                                                  NumericType gainFactor)
{
    return *new Coefficients (ArrayCoeffs::makeHighShelf (sampleRate, cutOffFrequency, Q, gainFactor));
}

template <typename NumericType>
typename Coefficients<NumericType>::Ptr Coefficients<NumericType>::makePeakFilter (double sampleRate,
                                                                                   NumericType frequency,
                                                                                   NumericType Q,
                                                                                   NumericType gainFactor)
{
    return *new Coefficients (ArrayCoeffs::makePeakFilter (sampleRate, frequency, Q, gainFactor));
}

template <typename NumericType>
size_t Coefficients<NumericType>::getFilterOrder() const noexcept
{
    return (static_cast<size_t> (coefficients.size()) - 1) / 2;
}

template <typename NumericType>
double Coefficients<NumericType>::getMagnitudeForFrequency (double frequency, double sampleRate) const noexcept
{
    constexpr Complex<double> j (0, 1);
    const auto order = getFilterOrder();
    const auto* coefs = coefficients.begin();

    jassert (frequency >= 0 && frequency <= sampleRate * 0.5);

    Complex<double> numerator = 0.0, denominator = 0.0, factor = 1.0;
    Complex<double> jw = std::exp (-MathConstants<double>::twoPi * frequency * j / sampleRate);

    for (size_t n = 0; n <= order; ++n)
    {
        numerator += static_cast<double> (coefs[n]) * factor;
        factor *= jw;
    }

    denominator = 1.0;
    factor = jw;

    for (size_t n = order + 1; n <= 2 * order; ++n)
    {
        denominator += static_cast<double> (coefs[n]) * factor;
        factor *= jw;
    }

    return std::abs (numerator / denominator);
}

template <typename NumericType>
void Coefficients<NumericType>::getMagnitudeForFrequencyArray (const double* frequencies, double* magnitudes,
                                                               size_t numSamples, double sampleRate) const noexcept
{
    constexpr Complex<double> j (0, 1);
    const auto order = getFilterOrder();
    const auto* coefs = coefficients.begin();

    jassert (order >= 0);

    for (size_t i = 0; i < numSamples; ++i)
    {
        jassert (frequencies[i] >= 0 && frequencies[i] <= sampleRate * 0.5);

        Complex<double> numerator = 0.0, denominator = 0.0, factor = 1.0;
        Complex<double> jw = std::exp (-MathConstants<double>::twoPi * frequencies[i] * j / sampleRate);

        for (size_t n = 0; n <= order; ++n)
        {
            numerator += static_cast<double> (coefs[n]) * factor;
            factor *= jw;
        }

        denominator = 1.0;
        factor = jw;

        for (size_t n = order + 1; n <= 2 * order; ++n)
        {
            denominator += static_cast<double> (coefs[n]) * factor;
            factor *= jw;
        }

        magnitudes[i] = std::abs (numerator / denominator);
    }
}

template <typename NumericType>
double Coefficients<NumericType>::getPhaseForFrequency (double frequency, double sampleRate) const noexcept
{
    constexpr Complex<double> j (0, 1);
    const auto order = getFilterOrder();
    const auto* coefs = coefficients.begin();

    jassert (frequency >= 0 && frequency <= sampleRate * 0.5);

    Complex<double> numerator = 0.0, denominator = 0.0, factor = 1.0;
    Complex<double> jw = std::exp (-MathConstants<double>::twoPi * frequency * j / sampleRate);

    for (size_t n = 0; n <= order; ++n)
    {
        numerator += static_cast<double> (coefs[n]) * factor;
        factor *= jw;
    }

    denominator = 1.0;
    factor = jw;

    for (size_t n = order + 1; n <= 2 * order; ++n)
    {
        denominator += static_cast<double> (coefs[n]) * factor;
        factor *= jw;
    }

    return std::arg (numerator / denominator);
}

template <typename NumericType>
void Coefficients<NumericType>::getPhaseForFrequencyArray (double* frequencies, double* phases,
                                                           size_t numSamples, double sampleRate) const noexcept
{
    jassert (sampleRate > 0);

    constexpr Complex<double> j (0, 1);
    const auto order = getFilterOrder();
    const auto* coefs = coefficients.begin();
    auto invSampleRate = 1 / sampleRate;

    jassert (order >= 0);

    for (size_t i = 0; i < numSamples; ++i)
    {
        jassert (frequencies[i] >= 0 && frequencies[i] <= sampleRate * 0.5);

        Complex<double> numerator = 0.0, denominator = 0.0, factor = 1.0;
        Complex<double> jw = std::exp (-MathConstants<double>::twoPi * frequencies[i] * j * invSampleRate);

        for (size_t n = 0; n <= order; ++n)
        {
            numerator += static_cast<double> (coefs[n]) * factor;
            factor *= jw;
        }

        denominator = 1.0;
        factor = jw;

        for (size_t n = order + 1; n <= 2 * order; ++n)
        {
            denominator += static_cast<double> (coefs[n]) * factor;
            factor *= jw;
        }

        phases[i] = std::arg (numerator / denominator);
    }
}

template struct Coefficients<float>;
template struct Coefficients<double>;

} // namespace juce::dsp::IIR
